One of your employees has suggested that your company develop a new product. You

Question

One of your employees has suggested that your company develop a new product. You decide to take a random sample of your customers and ask whether or not there is interest in the new product. The response is on a 1 to 5 scale with 1 indicating "definitely would not purchase"; 2, "probably would not purchase"; 3, "not sure"; 4, "probably would purchase"; and 5, "definitely would purchase." For an initial analysis, you will record the responses 1, 2, and 3 as "No" and 4 and 5 as "Yes." Suppose that after reviewing the results of a previous survey, you proceeded with preliminary development of the product. Now you are at the stage where you need to decide whether or not to make a major investment to produce and market it. You will use another random sample of your customers, but now you want the margin of error to be smaller. What sample size would you use if you wanted the 95% margin of error to be 0.02 or less? (Round your answer up to the nearest whole number.) The answer is not 2401

Explanation / Answer

Without knowing what p might possibly be, it would be safer to assume that p = 0.5 and thus calculate for the worst case scenario (the value of p that gives the largest required sample size).

n = (1.96/0.02)^2 * 0.5 * 0.5

n = 2401

This is the answer i am getting. All calculations are correct.

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